Finding the Third Proportional to 512,724 and 795,958.50

Step by Step Solution

1. Step 1: Write the proportion equation
   512,724 : 795,958.50 = 795,958.50 : x
2. Step 2: Convert to fraction form
   512,724/795,958.50 = 795,958.50/x
3. Step 3: Cross multiply
   512,724x = 795,958.50 × 795,958.50
4. Step 4: Simplify right side
   512,724x = 633,549,933,722.25
5. Step 5: Solve for x
   x = 633,549,933,722.25/512,724
6. Step 6: Final answer
   x = 1,235,654.92